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1023052899088 = 2411971672811277
BaseRepresentation
bin11101110001100101011…
…01000110001100010000
310121210200022112000222101
432320302231012030100
5113230203020232323
62101552314050144
7133625130106243
oct16706255061420
93553608460871
101023052899088
11364968766210
12146336419954
13756202b982c
1437731d8525a
151b92a524dad
hexee32b46310

1023052899088 has 160 divisors (see below), whose sum is σ = 2207284224768. Its totient is φ = 455489126400.

The previous prime is 1023052899013. The next prime is 1023052899101. The reversal of 1023052899088 is 8809982503201.

It is a happy number.

It is a super-2 number, since 2×10230528990882 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 801137106 + ... + 801138382.

Almost surely, 21023052899088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1023052899088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103642112384).

1023052899088 is an abundant number, since it is smaller than the sum of its proper divisors (1184231325680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1023052899088 is a wasteful number, since it uses less digits than its factorization.

1023052899088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 55.

The spelling of 1023052899088 in words is "one trillion, twenty-three billion, fifty-two million, eight hundred ninety-nine thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 97 167 176 194 281 334 388 562 668 776 1067 1124 1277 1336 1552 1837 2134 2248 2554 2672 3091 3674 4268 4496 5108 6182 7348 8536 10216 12364 14047 14696 16199 17072 20432 24728 27257 28094 29392 32398 46927 49456 54514 56188 64796 93854 109028 112376 123869 129592 178189 187708 213259 218056 224752 247738 259184 299827 356378 358837 375416 426518 436112 495476 516197 599654 712756 717674 750832 853036 990952 1032394 1199308 1362559 1425512 1435348 1706072 1981904 2064788 2345849 2398616 2725118 2851024 2870696 3412144 3947207 4129576 4551919 4691698 4797232 5450236 5741392 7894414 8259152 9103838 9383396 10900472 15788828 18207676 18766792 20686123 21800944 31577656 34807189 36415352 37533584 41372246 50071109 59925779 63155312 69614378 72830704 82744492 100142218 119851558 139228756 165488984 200284436 227547353 239703116 278457512 330977968 382879079 400568872 455094706 479406232 556915024 659183569 765758158 801137744 910189412 958812464 1318367138 1531516316 1820378824 2636734276 3063032632 3640757648 5273468552 5812800563 6126065264 10546937104 11625601126 23251202252 46502404504 63940806193 93004809008 127881612386 255763224772 511526449544 1023052899088